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The Vector Analysis Grid Operators for Applied Problems

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Numerical Methods and Applications (NMA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4310))

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Abstract

Mathematical physics problems are often formulated by means of the vector analysis differential operators: divergence, gradient and rotor. For approximate solutions of such problems it is natural to use the corresponding operator statements for the grid problems, i.e., to use the so-called VAGO (Vector Analys Grid Operators) method. We discuss the possibilities of such an approach in using general irregular grids. The vector analysis difference operators are constructed using the Delaunay triangulation and the Voronoi diagrams. The truncation error and the consistency property of the difference operators constructed on two types of grids are investigated.

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References

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Authors and Affiliations

  1. Institute for Mathematical Modeling, RAS, 4-A Miusskaya Square, 125047 Moscow, Russia

    Petr Vabishchevich

Authors
  1. Petr Vabishchevich
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Todor Boyanov Stefka Dimova Krassimir Georgiev Geno Nikolov

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© 2007 Springer Berlin Heidelberg

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Vabishchevich, P. (2007). The Vector Analysis Grid Operators for Applied Problems. In: Boyanov, T., Dimova, S., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2006. Lecture Notes in Computer Science, vol 4310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70942-8_2

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  • DOI: https://doi.org/10.1007/978-3-540-70942-8_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70940-4

  • Online ISBN: 978-3-540-70942-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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